Abstract
A parallel Direct Simulation Monte Carlo (DSMC) algorithm to solve a spatially inhomogeneous nonlinear equation of coagulation is presented. The algorithm is based on simulating the evolution of stochastic test particles ensembles. The algorithm can be effectively implemented on parallel computers of different architectures including GRID infrastructure based on MPLS networks. A problem of minimizing the computational cost of the algorithm is considered. To implement the algorithm on GRID infrastructure we carry out preliminary simulation of an underlying network. Such simulation enables to define minimal network bandwidth necessary for efficient parallel decomposition of DSMC algorithm.
The work was supported by RFBR grants No. 09-01-00639 and No. 09-01-00035, Russian Science Support Foundation’s grant.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adami, D., Giordano, S., Pagano, M.: Dynamic Network Resources Allocation in Grids through a Grid Network Resource Broker. In: INGRID 2007 (2007)
Ivanov, M.S., Rogazinskii, S.V.: Efiicient schemes of direct statistical simulation of rarified gas flows. Mathematical Modeling 1(7), 130–145 (1989)
Marchenko, M., Adami, D., Callegari, C., Giordano, S., Pagano, M.: Design and Deployment of a Network-aware Grid for e-Science Applications. In: IEEE International Conference on Communications ICC 2009 (2009)
Marchenko, M.A.: A study of a parallel statistical modelling algorithm for solution of the nonlinear coagulation equation. Russ. J. Numer. Anal. Math. Modelling. 23(6), 597–614 (2008)
Marchenko, M., Adami, D., Callegari, C., Giordano, S., Pagano, M.: A GRID network-aware for efficient parallel Monte Carlo simulation of coagulation phenomena. In: INGRID 2008 (2008)
Marchenko, M.A., Mikhailov, G.A.: Parallel realization of statistical simulation and random number generators. Russ. J. Numer. Anal. Math. Modelling 17(1), 113–124 (2002)
Voloshuk, V.M., Sedunov, Yu.S.: Processes of coagulation in disperse systems. Leningrad-Gidrometeoizdat (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Marchenko, M. (2009). Efficiency of Parallel Monte Carlo Method to Solve Nonlinear Coagulation Equation. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 2009. Lecture Notes in Computer Science, vol 5698. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03275-2_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-03275-2_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03274-5
Online ISBN: 978-3-642-03275-2
eBook Packages: Computer ScienceComputer Science (R0)